Description
Calculate unassigned probability mass after supplied disjoint event masses.
Probability calculations distinguish event mass, density likelihood, support membership and interval inclusion. Zero likelihood is not always proof of impossibility, and a known zero-probability category differs from an absent label. Independence, disjointness and supplied CDF values are assumptions or records, rather than properties established by local arithmetic.
Calculate unassigned probability mass after supplied disjoint event masses.
When to use this tool
Use Finite Event Mass Remaining Budget when you already have knownDisjointMasses and need to calculate unassigned probability mass after supplied disjoint event masses.
How to use the tool and how it works
- Enter knownDisjointMasses. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read assignedMass, remainingMass. Use the output convention below.
Require each mass in [0,1] and their floating-point sum<=1; return sum and 1-sum.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| knownDisjointMasses | Known Disjoint Masses | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| assignedMass | Assigned Mass | Required. Finite number. |
| remainingMass | Remaining Mass | Required. Finite number. |
{
"input": {
"knownDisjointMasses": [
0.25,
0.5
]
},
"output": {
"assignedMass": 0.75,
"remainingMass": 0.25
}
}Limitations and assumptions
- Disjointness is assumed and no tolerance is added to the sum check; no events or sample space are inspected.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the complete joint model when independence or disjointness cannot be assumed. Evaluate a distribution on its actual support for CDF or likelihood questions, and keep absent categories distinct from explicitly listed zero-probability outcomes.
References
Similar or alternative tools
- Independent Complement Product Two Events
Calculate neither-event and at-least-one probabilities under independence.
- Categorical Label Probability Lookup
Look up a categorical probability while distinguishing a missing label.